Solve 2-1/8(2^3-7)

$$2 - \frac { 1 } { 8 } ( 2 ^ { 3 } - 7 )$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$2-\frac{1}{8}\left(8-7\right)$$

Subtract 7 from 8 to get 1.

$$2-\frac{1}{8}\times 1$$

Multiply \frac{1}{8} and 1 to get \frac{1}{8}.

$$2-\frac{1}{8}$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{16}{8}-\frac{1}{8}$$

Since \frac{16}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{8}$$

Subtract 1 from 16 to get 15.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$